On isomorphy of measure-preserving \(\mathbb Z^2\)-actions that have isomorphic Cartesian powers

DOI10.1007/s10958-009-9478-zzbMath1219.28015OpenAlexW2062714521MaRDI QIDQ843632

A. E. Troitskaya

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9478-z

zbMATH Keywords

isomorphismmeasure-preserving transformations\(\mathbb Z^2\)-actions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15)

Related Items (2)

Weak closures of ergodic actions ⋮ Thouvenot's isomorphism problem for tensor powers of ergodic flows

Cites Work

• Unnamed Item
• Tensor roots of isomorphisms and weak limits of transformations
• Ergodic theory. Introductory lectures
• The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical
• Partitions of the phase space of a measure preserving \(\mathbb{Z}^d\)-action into towers
• Commuting measure-preserving transformations
• SPECTRAL PROPERTIES OF GENERIC DYNAMICAL SYSTEMS
• Ergodic theory of amenable group actions. I: The Rohlin lemma

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